Antipodial omnisnub bitetrahedral diacositetracontachoron

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Antipodial omnisnub bitetrahedral diacositetracontachoron
Rank4
TypeIsogonal
Elements
Cells720 tetragonal disphenoids, 1440+1440 phyllic disphenoids, 2880+2880 irregular tetrahedra, 480+480 triangular gyroprisms, 960 triangular antipodiums, 240 snub tetrahedra
Faces960+960+960 triangles, 2880+2880+2880+2880+2880+2880+2880+2880+2880 scalene triangles
Edges1440+1440+1440+1440+1440+1440+2880+2880+2880+2880
Vertices2880
Vertex figure14-vertex polyhedron with 13 triangles, 4 tetragons, and 1 pentagon
Measures (edge length 1)
Central density1
Related polytopes
DualTetradecahedral dischiliaoctacosioctacontachoron
Abstract & topological properties
Flag count345600
Euler characteristic0
OrientableYes
Properties
SymmetryB3●H3, order 2880
ConvexYes
NatureTame

The antipodial omnisnub bitetrahedral diacositetracontachoron is a convex isogonal polychoron that consists of 240 snub tetrahedra, 960 triangular antiprisms of two kinds, 720 rhombic disphenoids, 960 triangular antipodiums, 2880 phyllic disphenoids of two kinds, and 5760 irregular tetrahedra of two kinds. 1 snub tetrahedron, 2 triangular gyroprisms, 2 triangular gyropodiums, 1 tetragonal disphenoid, 4 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. However, it cannot be made uniform.

Isogonal derivatives[edit | edit source]

Substitution by vertices of these following elements will produce these convex isogonal polychora: